26 citations · 96 across the 41 of their papers we have counts for
18 papers · 1 filter
An extension formula for right Bol loops arising from Bol reflections
Mario Galici, Gabor P. Nagy
We study a new extension formula for right Bol loops. We prove the necessary or sufficient conditions for the extension to be right Bol. We describe the most important invariants:…
Bol loops and Bruck loops of order up to isotopism
Petr Vojtěchovský
Let be odd primes. We classify Bol loops and Bruck loops of order up to isotopism. When does not divide , the only Bol loop (and hence the only Bruck loop) of…
Graphical Frobenius representations of non-abelian groups
Gábor Korchmáros, Gábor P. Nagy
A group has a Frobenius graphical representation (GFR) if there is a simple graph whose full automorphism group is isomorphic to and it acts on vertices as a Fr…
Bol loops and Bruck loops of order
Michael Kinyon, Gábor P. Nagy, Petr Vojtěchovský
Right Bol loops are loops satisfying the identity , and right Bruck loops are right Bol loops satisfying the identity . Let and $…
3-nets realizing a diassociative loop in a projective plane
Gábor Korchmáros, Gábor P. Nagy
A \textit{-net} of order is a finite incidence structure consisting of points and three pairwise disjoint classes of lines, each of size , such that every point incident…
Moufang loops with commuting inner mappings
Gábor P. Nagy, Petr Vojtěchovský
We investigate the relation between the structure of a Moufang loop and its inner mapping group. Moufang loops of odd order with commuting inner mappings have nilpotency class at m…